Search a number
-
+
8422006320 = 2433572136121
BaseRepresentation
bin1111101011111110…
…11001111000110000
3210201221111020202000
413311333121320300
5114222013200240
63511412454000
7415463605200
oct76577317060
923657436660
108422006320
113632004002
12177061a300
13a42abb0c0
1459c75a400
153445a9430
hex1f5fd9e30

8422006320 has 480 divisors, whose sum is σ = 36347048640. Its totient is φ = 1776660480.

The previous prime is 8422006303. The next prime is 8422006321. The reversal of 8422006320 is 236002248.

8422006320 is a `hidden beast` number, since 8 + 4 + 2 + 20 + 0 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8422006321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1372860 + ... + 1378980.

It is an arithmetic number, because the mean of its divisors is an integer number (75723018).

Almost surely, 28422006320 is an apocalyptic number.

8422006320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8422006320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18173524320).

8422006320 is an abundant number, since it is smaller than the sum of its proper divisors (27925042320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8422006320 is a wasteful number, since it uses less digits than its factorization.

8422006320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170 (or 6151 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8422006320 is about 91771.4896904262. The cubic root of 8422006320 is about 2034.5663358022.

Adding to 8422006320 its reverse (236002248), we get a palindrome (8658008568).

The spelling of 8422006320 in words is "eight billion, four hundred twenty-two million, six thousand, three hundred twenty".